CN109947077A - A kind of kinetic control system network attack discrimination method based on intermediate sight device - Google Patents

A kind of kinetic control system network attack discrimination method based on intermediate sight device Download PDF

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CN109947077A
CN109947077A CN201910196655.3A CN201910196655A CN109947077A CN 109947077 A CN109947077 A CN 109947077A CN 201910196655 A CN201910196655 A CN 201910196655A CN 109947077 A CN109947077 A CN 109947077A
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matrix
indicate
indicates
control system
attack
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朱俊威
顾曹源
张文安
俞立
何德峰
徐建明
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Zhejiang University of Technology ZJUT
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Zhejiang University of Technology ZJUT
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Abstract

A kind of kinetic control system network attack discrimination method based on intermediate sight device, includes the following steps: to model kinetic control system;Obtain system state space equation;Construct intermediate sight device;And the gain of intermediate sight device is solved by MATRIX INEQUALITIES;Attack is estimated finally by intermediate sight device.Method of the invention considers kinetic control system, and there is a phenomenon where network attacks, and the present invention is not limited solely to this example, while its estimated result can satisfy the precision and requirement of real-time of practical application.

Description

A kind of kinetic control system network attack discrimination method based on intermediate sight device
Technical field
The invention belongs to technical field of network security, and in particular to a kind of kinetic control system net based on intermediate sight device Network attacks discrimination method, it can carry out real-time estimation to attack, assesses for system trend, ensures its safe operation.
Background technique
Currently, industrial control system (industrial control system) and Internet of Things, internet show depth The situation of fusion, this had both greatly improved the intelligence of industrial control system, the level of informatization, had also caused a series of new Security challenge.It emerges one after another for all kinds of novel attack technologies and means of ICS, it is steady to national security, economic development and society It is fixed etc. to produce the great attention for seriously affecting and causing countries in the world government.
For the security threat being subject to, ICS uses Intrusion Detection Technique supervisory control system running state, finds suspicious row in real time To take counter-measure in time convenient for Security Officer, resisting the core skill that known and unknown attack intrusion detection is systemic defence Art, numerous protection techniques implementation depend on Intrusion Detection Technique efficiency, i.e., whether can find in real time intrusion behavior however ICS has the particularity such as high, resource-constrained, the update difficulty of real-time, leads to traditional intruding detection system (intrusion Detection system) it not can be used directly the in ICS
Existing most of detection methods are all based on so-called observer matching condition, this carrys out many real systems Say it is implacable.Robust estimation method is widely studied and applied because not having observer matching condition, But these methods are all based on performance optimization, the disadvantage is that the range of evaluated error can not clearly be obtained by theory analysis.
Summary of the invention
Based on the above issues, the kinetic control system network attack identification based on intermediate sight device that the present invention provides a kind of Method constructs an intermediate sight device and carrys out estimated state and attack simultaneously, and prove specifically, introducing an intermediate variable The state of error system is uniform ultimate bounded.
The present invention provides following solution to solve above-mentioned technical problem:
A kind of kinetic control system network attack discrimination method based on intermediate sight device, comprising the following steps:
Step 1) establishes kinetic control system transmission function:
By System Discrimination, determine shown in kinetic control system transmission function such as formula (1):
Wherein G (s) is the transmission function of kinetic control system, K, TsTo pick out the parameter come;
Step 2) establishes kinetic control system state equation and output equation, comprising the following steps:
2.1) in kinetic control system, attack f is added, therefore shown in kinetic control system state equation such as formula (2):
Wherein A is the state matrix of system, and B is input matrix, and x indicates system state amount, and g indicates the not true of model Qualitative or interference, u are system input, and E is attack gain, and f is attack;
2.2) shown in the output equation of kinetic control system such as formula (3):
Y (t)=Cx (t) (3)
Wherein y indicates system output quantity, and x indicates system state amount, and C indicates output matrix;
Step 3), building intermediate sight device the following steps are included:
3.1) shown in design intermediate variable such as formula (4):
ε (t)=f (t)-ω ETx(t) (4)
The wherein transposition of subscript " T " representing matrix, ε indicate that intermediate variable, f indicate attack, and x indicates system state amount, E table Show attack gain, ω tuning parameter;
3.2) it is based on intermediate variable, shown in design intermediate sight device such as formula (5):
The wherein transposition of subscript " T " representing matrix,Indicate the estimated value of system state amount x,Indicate estimating for intermediate variable ε Evaluation,Indicate the estimated value of attack f,Indicate the estimated value of disturbance g,Indicate the estimated value of output y, A indicates state transfer Matrix, u are system input, and B indicates that input matrix, L indicate the intermediate sight device gain for needing to design, and C indicates output matrix, ω Tuning parameter, E are attack gain;
Step 4) designs and solves the gain of intermediate sight device by MATRIX INEQUALITIES, comprising the following steps:
4.1) matrix is constructed, as shown in formula (6):
Wherein * indicates that symmetry elements, P indicate that positive definite matrix to be solved, H indicate that matrix to be solved, δ indicate that band solves Scalar, A indicate that state-transition matrix, C indicate that output matrix, ω are excellent parameter of setting the tone, and B indicates that input matrix, ε are to calibration Amount, I indicate unit matrix, lgFor Lipschitzian constant, Π11、Π12And Π22It indicates intermediary matrix, is respectively as follows:
Π12=PE- ω2δEETE-ωδATE
4.2) solution matrix inequality Π < 0 obtains P, H, shown in intermediate sight device gain L such as formula (7):
L=P-1H (7)
Wherein subscript " -1 " representing matrix is inverse, to realize the real-time estimation to attack f by intermediate sight device (5).
Working principle of the present invention is as follows: first kinetic control system is modeled;Obtain the state of kinetic control system Spatial model;It considers further that the network attack in system, constructs intermediate sight device, real-time estimation is carried out to it.
Beneficial effects of the present invention are shown: solving observer gain L by MATRIX INEQUALITIES, configuration intermediate sight device comes It realizes and real-time estimation is carried out to attack f, compared with prior art, beneficial effects of the present invention are as follows: not matched item by observer The limitation of part, it can carry out real-time estimation to attack, assess for system trend, ensure its safe operation.Estimated result can expire The precision and requirement of real-time of sufficient practical application, and required relevant parameter can be measured by the sensor of low cost.
Detailed description of the invention
Fig. 1 is networking Motion Control Platform structural schematic diagram;
Fig. 2 is to attackExperimental result;
Fig. 3 is to attackReal-time estimation Error Graph;
Fig. 4 is the experimental result to attack f=4*sin (10* π * t/180);
Real-time estimation Error Graph of the Fig. 5 to attack f=4*sin (10* π * t/180).
Specific embodiment
To be more clear the object, technical solutions and advantages of the present invention, with reference to the accompanying drawing with actual experiment to this hair Bright technical solution is further described.
Referring to Fig.1~Fig. 5, a kind of kinetic control system network attack discrimination method based on intermediate sight device, work Principle is as follows: determining the transmission function of kinetic control system;Establish kinetic control system state equation and output equation;Further Attack in consideration system constructs intermediate sight device, carries out real-time estimation to it.
A kind of kinetic control system network attack discrimination method based on intermediate sight device, comprising the following steps:
1) kinetic control system transmission function is determined;
2) kinetic control system state equation and output equation are established;
3) intermediate sight device is constructed;
4) it designs and passes through MATRIX INEQUALITIES and solve the gain of intermediate sight device.
Further, in step 1), kinetic control system transmission function is determined:
1) it by System Discrimination, determines shown in kinetic control system transmission function such as formula (1):
Wherein.K=0.08373, Ts=0.02433.
Further, in the step 2), kinetic control system state equation and output equation, including following step are established It is rapid:
2.1) in kinetic control system, attack f is added, therefore shown in kinetic control system state equation such as formula (2):
Wherein x indicates system state amount, state-transition matrixDisturb g=[0.1sin (k) 0]T, it is reference input, k=0.5963, input matrix B=[1 0] that system, which inputs u (t)=- ky (t)+v, v,T, attack gain E =[0 2.94]T, f expression attack.
2.2) shown in the output equation of kinetic control system such as formula (3):
Y (t)=Cx (t) (3)
Wherein y indicates system output quantity, and x indicates system state amount, and C indicates output matrix.
Further, in the step 3), building intermediate sight device the following steps are included:
3.1) shown in design intermediate variable such as formula (4):
ε (t)=f (t)-ω ETx(t) (4)
The wherein transposition of subscript " T " representing matrix, ε indicate that intermediate variable, f indicate attack, and x indicates system state amount, attacks Hit gain E=[0 2.94]T, ω tuning parameter;
3.2) it is based on intermediate variable, shown in design intermediate sight device such as formula (5):
The wherein transposition of subscript " T " representing matrix,Indicate the estimated value of system state amount x,Indicate estimating for intermediate variable ε Evaluation,Indicate the estimated value of attack f,Indicate the estimated value of disturbance g, state-transition matrixSystem System input u (t)=- ky (t)+v, v are reference input, k=0.5963, input matrix B=[1 0]T, L indicates to need to design Intermediate sight device gain, output matrix C=[0 3.4413], ω tuning parameter are attacked gain E=[0 2.94]T
In the step 4), designs and the gain of intermediate sight device is solved by MATRIX INEQUALITIES, comprising the following steps:
4.1) matrix is constructed, as shown in formula (6):
Wherein * indicates that symmetry elements, P indicate that positive definite matrix to be solved, H indicate that matrix to be solved, δ indicate that band solves Scalar, state-transition matrixOutput matrix C=[0 3.4413] gives tuning parameter ω=5, defeated Enter matrix B=[1 0]T, scalar ε=1 is given, I indicates unit matrix, Lipschitzian constant lg=0.1, Π11、Π12With Π22It indicates intermediary matrix, is respectively as follows:
Π12=PE- ω2δEETE-ωδATE
4.2) solution matrix inequality Π < 0, obtains:
With H=[1.9644 83.4458]T, the transposition of subscript " T " representing matrix;
Shown in intermediate sight device gain L such as formula (7):
L=P-1H (7)
Therefore intermediate sight device gain L=[5.7219 12.6764] is obtainedT.To by intermediate sight device (5) realization pair Attack the real-time estimation of f.
From experimental result as can be seen that the present invention it can accurately to attack carry out real-time estimation, be system trend Assessment, ensures its safety.Running its result can satisfy the precision and requirement of real-time of practical application, and required related ginseng Number can be measured by the sensor of low cost.
Embodiments of the present invention are described with reference to the accompanying drawings and be set forth above, but are not limited to aforesaid way.? Those skilled in the art within the scope of knowledge, as long as a variety of changes can also be made based on design of the invention Change and improves.

Claims (1)

1. a kind of kinetic control system network attack discrimination method based on intermediate sight device, which is characterized in that the method packet Include following steps:
Step 1) determines kinetic control system transmission function:
By System Discrimination, determine shown in kinetic control system transmission function such as formula (1):
Wherein G (s) is the transmission function of kinetic control system, K, TsTo pick out the parameter come;
In step 2), kinetic control system state equation and output equation are established, comprising the following steps:
2.1) in kinetic control system, attack f is added, therefore shown in kinetic control system state equation such as formula (2):
Wherein A is the state matrix of system, and B is input matrix, and x indicates system state amount, and g indicates the uncertainty of model Or interference, u are system input, E is attack gain, and f is attack;
2.2) shown in kinetic control system output equation such as formula (3):
Y (t)=Cx (t) (3)
Wherein y indicates system output quantity, and x indicates system state amount, and C indicates output matrix;
In step 3), intermediate sight device is constructed, comprising the following steps:
3.1) shown in design intermediate variable such as formula (4):
ε (t)=f (t)-ω ETx(t) (4)
The wherein transposition of subscript " T " representing matrix, ε indicate that intermediate variable, f indicate attack, and x indicates system state amount, and E expression is attacked Hit gain, ω tuning parameter;
3.2) it is based on intermediate variable, shown in design intermediate sight device such as formula (5):
The wherein transposition of subscript " T " representing matrix,Indicate the estimated value of system state amount x,Indicate the estimation of intermediate variable ε Value,Indicate the estimated value of attack f,Indicate the estimated value of disturbance g,Indicate the estimated value of output y, A indicates that state shifts square Battle array, u are system input, and B indicates that input matrix, L indicate the intermediate variable estimator gain for needing to design, and C indicates output matrix, ω tuning parameter, E are attack gain;
In step 4), designs and the gain of intermediate sight device is solved by MATRIX INEQUALITIES, comprising the following steps:
4.1) matrix is constructed, as shown in formula (6):
Wherein * indicates that symmetry elements, P indicate that positive definite matrix to be solved, H indicate that matrix to be solved, δ indicate that band solves mark Amount, A indicate that state-transition matrix, C indicate that output matrix, ω are excellent parameter of setting the tone, and B indicates that input matrix, ε are given scalar, I Indicate unit matrix, lgFor Lipschitzian constant, П11、П12And Π22It indicates intermediary matrix, is respectively as follows:
Π12=PE- ω2δEETE-ωδATE
4.2) solution matrix inequality Π < 0, obtains P1, P2, shown in H and ε, intermediate sight device gain L such as formula (7):
L=P-1H (7)
Wherein subscript " -1 " representing matrix is inverse, to realize the real-time estimation to attack f by intermediate sight device (5).
CN201910196655.3A 2019-03-13 2019-03-13 A kind of kinetic control system network attack discrimination method based on intermediate sight device Pending CN109947077A (en)

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Cited By (9)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN110535822A (en) * 2019-07-04 2019-12-03 浙江工业大学 A kind of multiple sensor attack discrimination method of network motion control systems
CN110531616A (en) * 2019-07-29 2019-12-03 浙江工业大学 A kind of network motion control systems under coloured noise attack discrimination method
CN110580035A (en) * 2019-09-02 2019-12-17 浙江工业大学 motion control system fault identification method under sensor saturation constraint
CN110579963A (en) * 2019-09-03 2019-12-17 浙江工业大学 Networked motion control system state estimation method based on adaptive state observer
CN110647132A (en) * 2019-08-28 2020-01-03 浙江工业大学 Frequency domain partition attack detection method for networked motion control system
CN110708284A (en) * 2019-08-30 2020-01-17 浙江工业大学 Networked motion control system attack estimation method based on gradient descent algorithm
CN110794811A (en) * 2019-11-07 2020-02-14 浙江工业大学 Safety control method of networked motion control system with quantification
CN110989552A (en) * 2019-11-25 2020-04-10 江南大学 Fault estimation method of continuous stirred tank reactor system under network attack
CN111130106A (en) * 2020-01-10 2020-05-08 浙江工业大学 Attack detection method for multi-region power system

Cited By (13)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN110535822A (en) * 2019-07-04 2019-12-03 浙江工业大学 A kind of multiple sensor attack discrimination method of network motion control systems
CN110535822B (en) * 2019-07-04 2022-04-08 浙江工业大学 Multi-sensor attack identification method of networked motion control system
CN110531616A (en) * 2019-07-29 2019-12-03 浙江工业大学 A kind of network motion control systems under coloured noise attack discrimination method
CN110647132B (en) * 2019-08-28 2021-02-26 浙江工业大学 Frequency domain partition attack detection method for networked motion control system
CN110647132A (en) * 2019-08-28 2020-01-03 浙江工业大学 Frequency domain partition attack detection method for networked motion control system
CN110708284A (en) * 2019-08-30 2020-01-17 浙江工业大学 Networked motion control system attack estimation method based on gradient descent algorithm
CN110580035A (en) * 2019-09-02 2019-12-17 浙江工业大学 motion control system fault identification method under sensor saturation constraint
CN110579963A (en) * 2019-09-03 2019-12-17 浙江工业大学 Networked motion control system state estimation method based on adaptive state observer
CN110794811A (en) * 2019-11-07 2020-02-14 浙江工业大学 Safety control method of networked motion control system with quantification
CN110794811B (en) * 2019-11-07 2021-02-26 浙江工业大学 Safety control method of networked motion control system with quantification
CN110989552A (en) * 2019-11-25 2020-04-10 江南大学 Fault estimation method of continuous stirred tank reactor system under network attack
CN111130106A (en) * 2020-01-10 2020-05-08 浙江工业大学 Attack detection method for multi-region power system
CN111130106B (en) * 2020-01-10 2024-04-12 浙江工业大学 Attack detection method for multi-region power system

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